67139040 has 96 divisors (see below), whose sum is σ = 215048736. Its totient is φ = 17602560.

The previous prime is 67139021. The next prime is 67139057. The reversal of 67139040 is 4093176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 67138989 and 67139007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28134 + ... + 30426.

It is an arithmetic number, because the mean of its divisors is an integer number (2240091).

Almost surely, 2^67139040 is an apocalyptic number.

67139040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107524368).

67139040 is an abundant number, since it is smaller than the sum of its proper divisors (147909696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67139040 is a wasteful number, since it uses less digits than its factorization.

67139040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 67139040 is about 8193.8415898771. The cubic root of 67139040 is about 406.4355699745.

It can be divided in two parts, 6713 and 9040, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 67139040 in words is "sixty-seven million, one hundred thirty-nine thousand, forty".